{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "plt.rcParams[\"figure.dpi\"] = 802\n",
    "\n",
    "def remove_frame():\n",
    "    for spine in plt.gca().spines.values():\n",
    "        spine.set_visible(False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0bd4741f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0bd48d2048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0bd43a87f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0bd49ce198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0bd4dc2860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAD8CAYAAACb4nSYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzsnWl4VEXahu/KDglr2LewBSVA2IMR1AAKCQKioqCiKDrIKC7jfIPiMOIwqIiO4oKCouOGyiIgm6JCooIgewJJWMIeQHYIIWTppL4f1Y1Ntu5Ob6eTuq+rr+4+XafO032S59R5q+otIaVEo9FoNFUDP28L0Gg0Go3n0Kav0Wg0VQht+hqNRlOF0Kav0Wg0VQht+hqNRlOF0Kav0Wg0VQht+hqNRlOF0Kav0Wg0VQht+hqNRlOFMKLpS2ce69evd2p/dz20Lq1L6zLOo5Lqsgsjmr5T5OXleVtCqWhdjqF1OYbW5RhVWVelM32NRqPRlI02fY1Go6lCaNPXaDSaKkSAtwVoNJrKRUFBAZmZmeTm5lKrVi3S09O9LakEvqwrJCSEZs2aERgYWKFj2GX6Qoh44C3AH5gjpZxWRrnhwAKgp5Rys3nbROBhoBB4Ukq5qkJKNRqNT5CZmUmNGjVo2bIl2dnZ1KhRw9uSSnDx4kWf1CWl5MyZM2RmZtKqVasKHcNmeEcI4Q/MBBKAKOAeIURUKeVqAE8Cv1ttiwJGAh2AeOA9c30ajaaSkpubS3h4OEIIb0updAghCA8PJzc3t8J12BPTjwEypJT7pZT5wNfAbaWU+w8wHbBWcxvwtZQyT0p5AMgw16fRaCox2vDdh7O/rT2m3xQ4YvU+07zNWkRXoLmUcrmj+2oqAbt2wfTp8MknkJPjbTWaCnLkCLz5Jrz/Ppw96201GnchbK2RK4S4CxgopXzE/P5+IEZK+YT5vR+wBnhQSnlQCJEE/J+UcrMQYiawXkr5hbnsR8BKKeU3xY4xFhgLMGHChO4JCQkV/kLZ2dmEhYVVeH93UVl1NVmyhMh33kEUFQGQ07w5ydOnk9eokVd1uYvKqmvdunD+858o8vJU9LVOnXxeeSWFa67JdriuWrVq0bZtWwAKCwvx9zdeRNfXdWVkZHDhwoWrtsXFxdl3CyClLPcBxAKrrN5PBCZava8FnAYOmh+5wDGgRyllVwGxNo7pFImJic5W4RYqpa7ly6UEKYcMkfL4cSlXrZKydm0pO3WS8tIl7+lyI5VR1/btUgYFSRkTI2VGhpSbNknZooWUjRpJeeyY4/WlpaVdeZ2VlVVhXe7E13VZ/8ZW2PRzKaVd4Z1NQKQQopUQIgjVMbvU6qJxQUpZT0rZUkrZEtgADJVq9M5SYKQQIlgI0QqIBDbadTXSGJusLBgzBjp3hvnzoVEjGDAA5s2DHTvg5Ze9rVBjB4WF8MADULcurFgBbdpAjx7q9fnz8Mwz3lZYMUaOHMmIESPo1asXERERrFixwtuSDIPNIZtSSpMQYjyqle4PfCylTBVCTAE2SymXlrNvqhBiPpAGmIDHpZSFLtKu8SZvvAEnTyp3CAn5c/uAAXDfffD66/Doo9C8ufc0amzy1VeQkqKu1fXq/bm9Y0eYMAGmTIEnn4TY2IrVH/zss5CW5hqxFrp0gRkzyi2SnJzMsGHDmDdvHmvXruWZZ57h1ltvda0OH8WuGblSypVSynZSyjZSypfM214ozfCllHHmVr7l/Uvm/a6RUn7nOukar3HhgjL9O+9UzcLivPQSmEzw1lue16axm8JCePFF5aHDh5f8fMIEdQcwrdRZOcbl8uXLnD59msmTJwMQFRXFuXPnvKzKOOgZuRrHmTsXLl6EZ58t/fOICLjrLvjwQ5g8GQw4CUYD338P+/ap6JxfKc2/0FAYP1619vfsgXbtHD9G3quvEuTh879z504iIyMJMd+Bbt26lc6dO3tUg5HRuXc0jiElzJoF3bpBz55ll3v6aRX3//JLz2nTOMTs2dCwIQwbVnaZcePUBeGTTzwmy2mSk5M5fPgwubm5XLp0icmTJ/O3v/3N27IMgzZ9jWNs2qQ6ah99tPxyMTFw7bXqrkBjOE6cUN0xDz0E5aVwadwY4uPhs89UOMgXSE5O5r777iMuLo6ePXvy17/+ld69e3tblmHQpq9xjPnzlUvcfXf55YSAUaPg11/h4EGPSNPYz6JFUFSk+txtMXo0HD0KSUlul+USkpOTGTNmDBs2bCAtLY1Ro0Z5W5Kh0KavsR8p4Ztv4JZboHZt2+XvvVc9L1zoXl0ah1m4EK65Bjp0sF128GCoVg2WLHG/Llewb98+IiMjvS3DsGjT19jP1q2q1V7aUI/SaNUKoqNh2TK3ytI4xqlTqtU+fLi6IbNF9epqJO6336rrvtE5evQofqX1TGsAbfoaR1iyBPz9YehQ+/cZMgTWrdPJXAzEypUqtHPHHfbvM2yYys2zbZv7dGk8gzZ9jf388IPqoA0Pt3+fIUNUD+B3eoqGUVi1Cho0UOPz7WXwYDWKR9+0+T7a9DX2cfYsbN6s7vMdoWdP5TDa9A1BURH8+KM6jY5EQOrVg+7d4aef3KdN4xm06WvsY80a5Ri33OLYfn5+0K8fJCb6RkC4krNtG5w+DQMHOr5v//6wYQNkO554U2MgtOlr7OPHH9XM2pgKrIHTty8cO6amdWq8yg8/qGdHr90AN9+ssmv88otrNWk8izZ9jX38+KNqsVdkMeZ+/dTzmjWu1aRxmDVr1ICqhg0d37d3b5VbT4d4fBtt+hrbHD4MBw78ad6O0qaNyrapTd+rmEywfj3ccEPF9g8JUca/erVrdWk8izZ9jW3WrVPPFZ3KLoSO6xuA5GS4dKnipg9w440qC8f5867TpfEs2vQ1tlm3TqVcdCZTYZ8+cOaMjut7kbVr1bMzaWh691bX7d9/d40md7F3717i4uLo0aMHEyZMuLJ8o0anVtbYw7p1cN11EODEn8v116vn9evV/H+Nx1m7Flq2hGbNKl5HTIwakLVunX0jgJ59Ntjja6gUFhbywAMPMHPmTLp168YTTzxBB3vyTVQR7GrpCyHihRC7hRAZQojnSvl8nBBihxBiuxBirRAiyry9pRDisnn7diHELFd/AY2buXhRLa3kbJbCa69V+Xp++801ujQOIaUy/T59nKunRg11w2fk07hkyRKioqLo1q0bAO3btyc6OtrLqoyDzaabEMIfmAncAmQCm4QQS6WU1tfvL6WUs8zlhwJvAPHmz/ZJKR2Y+6cxFBs2qPH5zpq+n5+6W1i/3jW6NA6xbx/88Yfzpg/qT+F//1Mdw7Zu/l59NY8aNYKcP6gDbNu2jS5W042Tk5O5pSJjVCsp9rT0Y4AMKeV+KWU+8DVwm3UBKWWW1dtQQPfWVRbWrfvTsJ0lNhZSU9VyixqPYrnWWqJsznD99apDOCXF+brcQXh4OLt27QLg999/57PPPtMtfSvsCdI2BY5Yvc8EehUvJIR4HHgGCAKsx/a1EkJsA7KASVLKX0vZdywwFmDChAkkJCTY/QWKk52dTZIBE3/7qq7olSsJatmSzVu3On2sOtWr01lKkj/4gHPlrbplhy5v4au6lixpS0hIY06e/NXpvPhCBAOxfPrpHrKyjpX4vFatWly8eBFQ8XXLa09x++23M3z4cDp06MCAAQOoW7cuDRs2vEqHN3TZg726cnNzS5zvuLg4+w4ipSz3AdwFzLF6fz/wTjnl7wU+Nb8OBsLNr7ujLh41bRzTKRITE52twi34pK6iIinr1ZNyzBjXHOzCBSmFkPLf/3ZOlxfxVV2xsVL26eOaYxUVSVm/vpQPPVT652lpaVdeZ2VlueagFeTw4cMyJiamxHZv6yoLe3VZ/8ZW2PRzKaVd4Z1MoLnV+2ZAycv7n3wNDDNfUPKklGfMr7cA+4AKLK+s8QqHD6tELT16uKa+mjXVyJ0tW1xTn8YuTCaVc8fGzZXdCKGSr/nCaUxOTtahnWLYY/qbgEghRCshRBAwElhqXUAIYb1Mza3AXvP2+uaOYIQQrYFIYL8rhGs8gOW/unt319XZrZtvuEUlIi0NcnNdd+0GVVdqKuTkuK5OdzB48GA+/PBDb8swFDZNX0ppAsYDq4B0YL6UMlUIMcU8UgdgvBAiVQixHRXXH23efiOQIoRIBhYC46SUejUNX2HzZjU8w5Utpe7d1YKrJ064rk5NuWzerJ5dbfqFhWqWr8a3sGu2jZRyJbCy2LYXrF4/VcZ+3wDfOCNQ40W2bIGOHVXSFVdhuWvYsgUGDXJdvZoy2bxZRdZcOSnV+jTGxrquXo370WkYNKUjpXILV4Z2ALp2Vc8uGA2ksQ/LaXTlsrFNm6pMnZa7CI3voE1fUzqHDqnVslxt+jVrQrt2Oq7vIfLzVQjGlaEdUJ25PXpo0/dFtOlrSsdiyq52C/CdoR+VgB07lPG7auSONd27Q3q6mqil8R206WtKx9KJ26mT6+vu3h2OHIFTp1xft+Yqtm9Xz5aomivp3l1l6NCdub6FNn1N6WzbBlFRru3EtWBOhKXj+u4nOVllxW7d2vV1W9LbGDEdQ1hYGEVFRTz55JN07NiRTp060bNnTw4cOABwZVunTp2Iiopi0qRJ5OXl2V3/gQMH6NWrF5GRkYwYMYL8/PxSy6WkpBAbG0uHDh3o1KkTubm5AHz11Vd06tSJ6Oho4uPjOX36NAA7duwgNjaWTp06MWTIELKyskqt1xm06WtKZ8cO5/Lnl4elXiO6RSUjJUXdrLmyE9dC8+ZQq5ZxT+O8efM4duwYKSkp7Nixg8WLF1O7du0rnycmJrJjxw42btzI/v37GTt2rN11P/vss/ztb39j79691KlTh48++qhEGZPJxKhRo5g1axapqakkJSURGBiIyWTiqaeeIjExkZSUFKKjo3n33XcBGD9+PNOmTWPHjh3cfvvtvPbaa87/EMXQpq8pyenTaiFzd81krFtXJXU3qltUEqRUP7G7rt1CqD8Ro4Z3jh8/TuPGjfEzX/GaNWtGnTp1SpQLCwtj1qxZLFmyhLNnbU8jklKyZs0ahg8fDsDo0aNZsmRJiXI//PAD0dHRdDafgPDwcPz9/a+kQ7h06RJSSrKysmjSpAkAGRkZ3HjjjQDccsstfPON60e860VUNCXZsUM9u3P6enS0Nn03c/QonDvn3tPYuTN8+qmK7Zd1NxH3SVyJbXd3uJvHej5GTkEOg+aWnK/xYJcHebDLg5zOOc3w+cOv+izpwSS7tN1999306dOHX3/9lf79+zNq1Ci6ltG5UbNmTVq1asXevXuJiorihjLWlPzyyy9p0KABtWvXJsCcV7pZs2YcPXq0RNk9e/YghGDgwIGcOnWKkSNHMmHCBAIDA3n//ffp1KkToaGhREZGMnPmTEDl/l+6dCm33XYbCxYs4MiRIyXqdRbd0teUxGLG7nSLTp3U0I8yYqEa5/HEaYyOVuvsHDzovmNUlGbNmrF7925eeeUV/Pz86N+/P6vLWdVdmtdvrlGjBtu3by/1ERUVdaWcNUKIEttMJhNr165l7ty5rF27lsWLF7N69WoKCgp4//332bZtG8eOHSM6OppXXnkFgPfee4+ZM2fSvXt3Ll68SFCQ69ci0C19TUl27ID69dXsG3cRHQ0FBbB7t3tGCGmuhF3c+fNad8+U1VlcXsu8emD1cj+vV72e3S370ggODiYhIYGEhAQaNmzIkiVL6N+/f4lyFy9e5ODBg7Rr146LFy+W29Jv374958+fx2QyERAQQGZm5pXwjDXNmjXjpptuol69egAMGjSIrVu3UrNmTQDatGkDqDuSadOmAdCuXTt++OEHQN0prFixosLfvSx0S19TEkvvXymtF5dhaX5aQkkal5OSotbErVXLfcfo0EH9mRgxUrd161aOHVMJgYuKikhJSSEiIqJEuezsbB577DGGDRtGnTp1bLb0hRD07duXhQsXAvDpp59y2223lah34MCBpKSkkJOTg8lk4ueffyYqKoqmTZuSlpbGKfOQ5R9//JH27dsDXNlWVFTE1KlTGTdunMt/F236mqspLISdO90bEwCVYjkw0JhuUUlISXH/aQwNVTl9jNSZazKZCA4O5uTJkwwZMoSOHTsSHR1NQEAA48ePv1Kub9++dOzYkZiYGFq0aMHs2bPtPsarr77KG2+8Qdu2bTlz5gwPP/wwAEuXLuWFF1Rasjp16vDMM8/Qs2dPunTpQrdu3bj11ltp0qQJkydP5sYbbyQ6Oprt27fz/PPPA7BgwQLatWvHtddeS5MmTXjooYdc+MsodHhHczX79sHly+53i8BAaN9em76byM1VkbM77nD/sTp3/nMSmBFITU2lTZs2xMfHEx8fX2qZnTt3UqNGjQofo3Xr1mzcuLHE9qFDhzJ06NAr70eNGsWoUaNKlBs3blyprfjHHnuMZ599tsK67EG39DVX44nePwt6BI/bSE9XN22eOo379kF2tvuPZYtZs2Zxzz33MHXqVG9LMSza9DVXs2OHGnsXFeX+Y0VHq3GFdoyN1jiGJdzirjH61kRHqzkBO3e6/1i2GDduHGlpaQwYMMDbUgyLNn3N1aSkQGQkVKvm/mPpzly3kZKiTqF5gIhbKe00ljasUeManP1t7TJ9IUS8EGK3ECJDCPFcKZ+PE0LsEEJsF0KsFUJEWX020bzfbiHEQKfUatyPJ3r/LFiOo0M8LiclRY2s8fd3/7EiIqB6dbUsI0BISAhnzpzRxu8GpJScOXOGECdyYtnsyDWvcTsTuAW1SPomIcRSKWWaVbEvpZSzzOWHAm8A8WbzHwl0AJoAPwkh2kkpCyusWOM+srNh/3548EHPHK9RIwgP16bvBtLSYKCHmlh+fqpPPjVVvW/WrBmZmZmcOnWK3NxcpwzKXfiyrpCQEJo1a1bhY9gzeicGyJBS7gcQQnwN3AZcMX0ppXUquFDAcom/DfhaSpkHHBBCZJjrW19hxRr3kZ6unj01WUoI1RxNS7NdVmM3587B8eOe6Zax0KED/PSTeh0YGEirVq0ASEpKKjP1gTepyrrsMf2mgHUCiEygV/FCQojHUYuiBwH9rPbdUGzfpqXsOxYYCzBhwgQSEhLs0V4q2dnZJCUlVXh/d+ELuhp+/z3tgd+zsrjsIa2RtWvTYM0a1iUmXjUZzBd+LyNhrWvnzppAN0ymFJKSPNNJHhLSnGPH2rB8+VrCwkyl6jISlVFXXFycfQUtGd/KegB3AXOs3t8PvFNO+XuBT82vZwKjrD77CLjTxjGdIjEx0dkq3IJP6JowQcrAQCkLCjwn4O23pQQpjx0rW5eB8AVdH36oftL9+z13/GXL1DHXrStbl5GopLps+rmU0q6O3EygudX7ZsCxcsp/DQyr4L4ab5KWpmbKBnhwzp4lBqFDPC4jLU2N3Ckl44Db6NBBPVvi+hrjYo/pbwIihRCthBBBqI7ZpdYFhBCRVm9vBfaaXy8FRgohgoUQrYBIoOQ0No0xSEvzbCAYtOm7gbQ01bHqjoVTyqL4CB6NcbHZpJNSmoQQ44FVgD/wsZQyVQgxBdgspVwKjBdC3AwUAOeA0eZ9U4UQ81GdvibgcalH7hiTy5fhwAF44AHPHrdRI6hTR7uFC0lLg5tu8uwxi4/g0RgXu+7jpZQrgZXFtr1g9fqpcvZ9CXipogI1HmL3bjWt0tMtfSHUMbXpu4SsLLXmvKdPI1w9gkdjXPSMXI3CYrrecAtt+i5j1y717C3TP3YMzp/3/LE19qNNX6NIS1PTNyMjbZd1NVFRal3ekyc9f+xKhrev3dYaNMZEm75GkZamEqO7YXk2m2i3cBlpaRAcDOa5UR5Fj+DxDbTpaxTeGLljQZu+y/DGqFsLlhE82vSNjTZ9jVqcPCPDe6bftCnUrKlN3wV489ptGcGjT6Ox0aavgb171Yob3nILPYLHJVy6BAcPeu80ggrx6Ja+sdGmr/Fu758FbfpO461Rt9boETzGR5u+RpmtECoY7C2iouDECThzxnsafByjXLvhz4StGuOhTV+j3KJVK8+sllUW2i2cJi1NdeC2bes9DbpP3vho09d4t/fPguX4OiBcYdLSoF07CAz0noaICNV20KZvXLTpV3FEYSHs2eN902/eHEJDtek7gRGu3f7+KkqoTd+4aNOv4oQcO6aGbHrbLSzj/XR4p0Lk5/uxb5/3TyPoPnmjo02/ihN66JB6YRS30KZfIY4cqUZRkXFO4+HDaslljfHQpl/FqX7woHpx7bVe1QGolv7Ro3DhgreV+ByHDoUCxjF9+DP5m8ZYaNOv4oQeOgQtWkCNGt6Wot3CCQ4erI6fn+rI9TZ6BI+xscv0hRDxQojdQogMIcRzpXz+jBAiTQiRIoRYLYSIsPqsUAix3fxYWnxfjXepfuiQamEbAe0WFebQoVDatFHJ1rxNmzZqBJE+jcbEpukLIfxRC5wnAFHAPUKI4jeR24AeUspoYCEw3eqzy1LKLubHUBfp1riCoiKqHz5sjJgAqLkCwcHaLSrAoUPVDXPtDgjQI3iMjD0t/RggQ0q5X0qZj1r4/DbrAlLKRClljvntBtQC6Bqjc+gQ/nl5xmnpW8b76c5chzCZ4OjRaoY5jaATrxkZe0y/KXDE6n2meVtZPAx8Z/U+RAixWQixQQgxrAIaNe7CYq7aLXyaffvAZPIz1GmMioL9+yEvT3cbGg17sm6LUrbJUgsKMQroAVgvy9xCSnlMCNEaWCOE2CGl3Fdsv7HAWIAJEyaQkJBgl/jSyM7OJikpqcL7uwsj6mq2fDltgbVnzmAyiLaIatVoefAgOadPG+73AmOex7Vr6wEdycnZQlLSRW/LAUDK+kjZgT17JMHBSd6WUwIjnkdwTldcXJx9BaWU5T6AWGCV1fuJwMRSyt0MpAMNyqnrE2C4jWM6RWJiorNVuAVD6nr4YZlXu7a3VVzNggVSgtz0wQfeVlIqRjyPL78sJUh54YK3lfzJjh1K06RJqd6WUipGPI9SOq3Lpp9LKe0K72wCIoUQrYQQQcBI4KpROEKIrsBsYKiU8qTV9jpCiGDz63pAb0DfuxuF9HRyWrTwtoqrMccorswf0NgkPR3q1cujZk1vK/mTyEjVRXPoUHVvS9EUw6bpSylNwHhgFaolP19KmSqEmCKEsIzGeQ0IAxYUG5rZHtgshEgGEoFpUkpt+kZASmX6ERG2y3oSs1uEHj7sbSU+Q3o6RERc8raMqwgOVtk+Dx4M9bYUTTHsWklTSrkSWFls2wtWr28uY7/fgE7OCNS4iZMn4dw5LhmtpR8UBG3bqvkDGptIqeay3XJLDlDX23KuIioKtmzRLX2jobvWqyrmkTuGa+kDREURqsM7dpGZqXLcRETk2C7sYdq3h8zM6uTne1uJxhpt+lUVg5t+taNH0W5hG8uoWyOaflQUFBUJ9u71thKNNdr0qyrp6RAWRl79+t5WUpL27RFFRWi3sI3F9Fu0MFZMH/RiaEZFm35VJT1dZdYUpU3D8DLaLewmPR3q1IE6dQq8LaUE11wDQkg9185gaNOvqqSnG2smrjXXXIMUQs/MtQPLaTTitbt6dWjcOFefRoOhTb8qkpWl8tYb1fSrVye3USNt+nZg5Gs3qKGk+jQaC236VRFLvnoDu0VORIQO79jgzBk4dcrQp5EWLXLYvVslhdMYA236VREjJlorxqWICNi9GwoLvS3FsPjAaaRlyxzy81XyNY0x0KZfFUlPV6tctGnjbSVlkhMRAXl5cOCAt6UYFl8wfctMYX3TZhy06VdF0tNVuoMAuyZke4Ur8wd0QLhM0tOhWjUw4lQLC5b5A/o0Ggdt+lURo/f+wZ/pIbRblMmuXWpYpJ+B/4urVy+keXN9Go2Egf9cNG4hL0+tumFw0y8MC4OmTXVcoBx84NoNqGkX2vSNgzb9qsbevVBU5BtuoVfRKpOcHDh0SM2vMzpRUeoCVVTkbSUa0KZf9fCF3j8LFreQpS7UVqXZvVv9LL5wGtu3h8uX1UVK43206Vc10tPV9M1rrvG2Etu0bw+XLsGRI7bLVjF87doNOlJnFLTpVzXUihtqjrzRsbiFDvGUID1ddeBGRnpbiW0sFyZ9Go2BXaYvhIgXQuwWQmQIIZ4r5fNnhBBpQogUIcRqIUSE1WejhRB7zY/RrhSvqQC+0vsHuolYDunpappFcLC3ldimbl3QWTWMg03TF0L4AzOBBCAKuEcIEVWs2Dagh5QyGlgITDfvWxeYDPQCYoDJQog6rpOvcYjCQhUM9hXTr1dPPbRblMCXrt2gR/AYCXta+jFAhpRyv5QyH/gauM26gJQyUUppWcVhA9DM/Hog8KOU8qyU8hzwIxDvGukahzl0CHJztVv4OCaTGoTli6dR98l7H3tMvylg3ZOWad5WFg8D31VwX4078aXePwvt2+sRPMXYtw8KCnzrNEZFwcWLKrmrxrvYMw+/tEzdpf4HCiFGAT2AmxzZVwgxFhgLMGHCBBISEuyQVTrZ2dkkJSVVeH93YQRdzZcvpw2w9swZTGYtRtBVGhZdTQMDiTx3jt8WLya/rvcX/jbC77V2bT2gIzk5W0hKumgYXaVh0ZWXVxvowldfJdOz5zlvyzL871UR4uLi7CsopSz3AcQCq6zeTwQmllLuZiAdaGC17R5gttX72cA9No7pFImJic5W4RYMoWvMGCkbNLhqkyF0lcIVXT/+KCVIuWaNV/VYMMLv9dJL6ie5cOHPbUbQVRoWXSdOKM0zZnhXjwWj/14VxKafSyntCu9sAiKFEK2EEEHASGCpdQEhRFezoQ+VUp60+mgVMEAIUcfcgTvAvE3jDVJToUMHb6twDD3erwSpqdCiBdSs6W0l9lO/PoSH69NoBGyavpTSBIxHmXU6MF9KmSqEmCKEGGou9hoQBiwQQmwXQiw173sW+A/qwrEJmGLepvE0Uvqm6TdpotxNu8UVdu70vdMohO6TNwp25daVUq4EVhbb9oLV65vL2fdj4OOKCtS4iMOHITsbOnb0thLHEOLPzlwNJpPKrjlwoLeVOE5UFMyfr9ofRlzTt6qgZ+RWFVJT1bOvNRFBNxGtyMiA/HzfPY3nzsHJk7bLatyHNv2qws6d6tlX3eLECTirI4O+fO39UQaJAAAgAElEQVTW3TPGQJt+VSE1VcXH6/jghGiLW+gQD6mpf0a8fA2dVcMYaNOvKuzc6XvxfAs68doVdu6EVq0gNNTbShxH98kbA236VYHCQtW88sWYAKisoNWq6SYiqqXvq9duPYLHGGjTrwocOKBWsfBVt/DzU0tEVXG3yM+HPXt899oN2vSNgDb9qoAv9/5ZsKyiVYXZs0cN2fT103jiBJw5420lVRdt+lUBi+lHFc+I7UO0b6/mGly86G0lXsNyGn31hg10Z64R0KZfFdi5U8XFa9TwtpKKY3GLXbu8q8OL7NypIl2+sNJlWeiBWN5Hm35VwBfTLxRHuwWpqdC2LYSEeFtJxWnRQq3UqeP63kObfmXHMm/fl2MCoNYGDAz8M8ZRBfHlUbcW/PzU9VubvvfQpl/Z8eV5+9YEBiq32LHD20q8Qm6uWjzF108j6BE83kabfmWnMvT+WYiOhpQUb6vwCrt2QVFR5TiNUVGQmQlZWd5WUjXRpl/Z2blTzYq59lpvK3Gezp3VentVcLyf5QansrT0oUp3z3gVbfqVneRkiIxUvWe+TnS0eq6Crf3kZAgO9u2ROxa06XsXbfqVneRk1UKuDFi+R3Kyd3V4geRk1coPsGsFDGPTqpUagVRFu2e8jl2mL4SIF0LsFkJkCCGeK+XzG4UQW4UQJiHE8GKfFZpX07qyopbGQ2Rlwf79lcf0GzaEBg2qXEtfysp17fb3V30TVfDabQhsthuEEP7ATOAWIBPYJIRYKqW07n8/DDwI/F8pVVyWUnZxgVaNo1jMsbK4BajvUsVM/48/4NSpynUau3SBxYv1KlrewJ6WfgyQIaXcL6XMB74GbrMuIKU8KKVMAYrcoFFTUSxNqcrkFtHRqnPaZPK2Eo9hOY1dKlHTqUsX1R9/9Ki3lVQ97DH9psARq/eZ5m32EiKE2CyE2CCEGOaQOo1zJCdD3brQrJm3lbiO6GjIy4O9e72txGNYTN/Sj10ZsFzAdIjH89jTLVTazZd04BgtpJTHhBCtgTVCiB1Syn1XHUCIscBYgAkTJpCQkOBA9VeTnZ1NUlJShfd3F97Q1e3XXymMiCD555/LLONrv1dofj49gbSvvuJkv36G0eVOfvihPQ0b1iI5eUOZZXztPObk+AM3sHjxfkJDDxtGl7dxRldcXJx9BaWU5T6AWGCV1fuJwMQyyn4CDC+nrnI/Nz+cIjEx0dkq3ILHdZlMUlarJuXTT5dbzOd+r9xcKQMCpJw40aN6LHjj94qKknLIkPLL+Nx5lFK2aSPl8OGe02KNL/5edmDTz6WUdoV3NgGRQohWQoggYCRg1ygcIUQdIUSw+XU9oDegJ2B7gowMtXBKZYrngxqs3r59lenMvXxZzcatbKcRVIhn+3Zvq6h62DR9KaUJGA+sAtKB+VLKVCHEFCHEUAAhRE8hRCZwFzBbCGHJitUe2CyESAYSgWny6lE/GndRGTtxLURHV5lgcGqqSr9QGU9jly6qbVKFl0jwCnZN9ZBSrgRWFtv2gtXrTUCJ3kIp5W9AJyc1aipCcrKayePmhVOKZBEpJ1I4eP4g1QKq0bVxVxqENnDrMencGebOhbNnVUd1JcbT1+6jWUfZ/sd2OjXsRItaLdx6LEtn7o4dcP31bj2Uxgo9I7eykpys8u0EB7ulelORiXc3vkvLGS3pOrsrt8+7nfi58XyR8oVbjncVFrfYts39x/IyyckQGqoyS7sDKSVf7fiK9FMqJ0LKiRQGfzWYiBkR9Pm4D0kHk9xzYP68kOkQj2fRpl9Z2b7drc3D87nnmfrLVCJqR/DpsE/ZMnYLPz/4M/dH3w/Ast3LmL5uuqUD37V066aet2xxfd0GIzkZOnVSeehdzYXcCwybN4x7F93L5ymfA3BDxA38NuY3Xr35VQ5fOEzfT/vy1HdPUVBY4PLjN2umbtS06XuWSpDJQ1OCEyfUrBeLObqQzKxMmtRoQr3q9dj26DYa12hcarmlu5cyZ9scDp4/yLuD3sVPuNC1wsOhZctKb/pFRbB1K4we7fq6T2SfIH5uPDtP7uSNAW/w1HVPARAWFEZs81him8fyRMwTTFw9kd1ndrv2/JkRQnfmegNt+pURixn26OHSao9dPEbsR7GM7jyaqf2mlmn4AB8M+YC61eoy/bfpBPkHMSN+hku10L17pTf9PXsgO9vlp5Hs/GwS5iaw58welt2zjPi28aWWqxZYjRnxMygoLMDfz5+cghyC/YPx9/N3mZYuXeC999QE68qQTM4X0OGdysjmzaoZ1bWry6q8lH+JwV8O5nzuee6KustmeSEE026exlO9nuKt39/iwy0fukwLoEx/3z44d8619RqIzZvVc/furq03pyCH4IBgFt61sEzDtybQP5CLeRe5/qPrmbRmkku1dO2qVgWrwuvdexxt+pWRLVtUJ26NGi6r8unvn2b7H9uZN3wenRvZ11cghOC/A/5LfNt4kk+4eIilxQm3bnVtvQZiyxaoVu3PNeFdRYPQBqwbs46ESPtnvtcIrsF1za5j2rppLEpf5DItlruYTZtcVqXGBtr0KyObN7u0efhN2jfM2TaHZ3s/y6DIQQ7t6+/nz5IRS3gn4R2X6QH+/H6VOMSzebNqCbsq7LHp6CbumHcHZ3LOVChG/3bC2/Ro0oOxy8ZyIvuESzS1awc1a2rT9yTa9Csbx46phwsDwdUDqzMochD/7vvvCu0fHBCMEILtf2znzfVvukZUeDhERFRa0y8sVCNSXXXtzi/MZ/SS0Ww+trnCnbJB/kF8NuwzsvOzGbt8rEtGZvn5qe+oTd9zaNOvbLihEzchMoEV964gyD/IqXrmbJ3D//34f2w77qLx9ZW4M3f3brh0yXWn8Y31b5B+Op33b32fOtXqVLie9vXb83L/lzl0/hDncl3Tn9Kzpxqampfnkuo0NtCmX9nYskU1n1yQfH39kfVMWzuN/MJ8FwiDqf2mEl4tnMdXPk6RdMHSC5bO3PPnna/LYLiyE/fg+YNM+XkKt197O7e2u9Xp+p7s9SRbxm6hbjXXzIbu2RMKCqpMZg2vo02/srF5s0q9EBrqVDVFsojHVj7GuxvfdZnp1w6pzas3v8r6zPV8lvyZ8xVW4s7cLVvUWvbXXut8XZPWTMJP+PFW/FvOVwYE+AXg7+fPucvnWLFnhdP1xcSoZx3i8Qza9CsTUrqsE/fLHV+y/Y/tTL9lOmFBYS4QpxjdZTS9mvbin2v+SU5BjnOVWb5nJXQLSyeuvwuGxM+In8GiEYtoXqu585VZ8dxPzzF8wXCOZjm3/FXz5mrp40p4Gg2JNv3KxJEjajauk4HgPFMek9ZMomujrozsONJF4hR+wo/XB7zO4z0fR5S6Po8D1KsHbdvC+vWuEWcQ8vPVzUvPns7VY8mfXq96PQa0GeAacVZMvGEihUWFTPl5ilP1CKG+qzZ9z6BNvzJhMb/YWKeqmbV5FocuHGLazdPcMv2+T4s+PH/D81QLrOZ8ZbGx6nu7I8ePl0hOVhOWnDyNrNi7gpg5MRy5cMR24QrQsnZLHu3+KB9t+4i9Z5xbvrJnT0hP12mWPYE2/crE+vVqNo+Ti6nGNI3h77F/55bWt7hIWOksSF3AO787OX4/NhZOnoSDB12iyQi44tpdJIuYuHoi53PP0yiskWuElcKkGycREhDCC0kv2C5cDj17qut2JeyeMRza9CsT69er/57AQKeqiW0ey+sDXkcIJ8MvNli8azETV0/kdM7pildiccZKFOJZv15loGzuRAh+cfpidp7cyZS4KQT6O/f3UB4Nwxryt+v+Rq4p16lMnJbO3Ep0Gg2LXaYvhIgXQuwWQmQIIZ4r5fMbhRBbhRAmIcTwYp+NFkLsNT/ckC9QA6h19bZudWo1ijxTHhN/mkhmVqYLhZXNpBsncangEm9tcGJUSceOaqRSJXKL9euda+VLKZn661Qi60Zyd4e7XSesDKb0ncLiEYudurjUqwfXXAPr1rlQmKZUbJq+EMIfmAkkAFHAPUKI4ssxHQYeBL4stm9dYDLQC4gBJgshKj4zRFM2W7aoVIVOuMVnyZ8xbd00dp32TParqPpR3Nn+Tt7e+Dbncys41j4gQDUTK4npHz8Ohw45Z/rfZXzH9j+28/wNz7s0I2ZZWO4IM85mcPjC4QrX07s3/PabSimtcR/2tPRjgAwp5X4pZT7wNXCbdQEp5UEpZQpQ/HQNBH6UUp6VUp4DfgRsp/XTOI7F9K67rkK7FxYVMv236XRv3J3+rfq7UFj5TLpxEll5WczcOLPilcTGqt7PHCeHgBoAV8Tz+7Xqx5whc7iv032uEWUH2fnZdJ3dlclJkytcR58+agVMnXHTvdiTyqkpYN39n4lqudtDafs2LV5ICDEWGAswYcIEEhLsz/5XnOzsbJKSkiq8v7twt64OS5cS1qQJv6elQZr9a89bdCWdSiLjbAYvRr3Izz//7DadpXFH0zsoOFFw1e/jyO8VHhZGJ5OJbR9+yAU3Lybr7vM4f35rAgObkZX1K0lJ9o9IKq6rDW1Y96tnYyUD6g/g8+TPGRg8kEYhjUrVVR4BAdWAXnz88W4GDz7uPqEO6vIkzuiKi4uzr6BlLG9ZD+AuYI7V+/uBd8oo+wkw3Or9P4BJVu//BfzdxjGdIjEx0dkq3IJbdRUVSdmwoZT33+/wromJibKoqEh2m91NtnunnTQVmtwg0HEc+r1OnZISpJw2zW16LLj776t3bymvv97x/Sy67l90v5ybMte1ouzkyIUjMnBKoPzr8r+W0GUPRUVS1q8v5QMPuEFcMSqpT9j0cymlXeGdTMB6HEEz4Jh9lxSn9tXYy759alJWBTtxcwpy6NSgE8/38UwMuDSy87N55/d3yDXlOr5zvXoqX8Gvv7pemAe5fFlNUOrdu2L7/3bkNz5P+ZyTl066VpidNKvZjAe7PMjH2z7m+EXHW+pCqO+uO3Pdiz2mvwmIFEK0EkIEASOBpXbWvwoYIISoY+7AHWDepnEllttBe2/vihEaFMonwz5hdBfvDa7aeHQjT37/JJ9s/6RiFcTFKdM3mVwpy6Ns2KBm41bwNPLqulepW60uf+n2F5fqcoRnez+Lv58/vx35rUL79+mj2jDH3RvdqdLYNH0ppQkYjzLrdGC+lDJVCDFFCDEUQAjRUwiRiQoFzRZCpJr3PQv8B3Xh2ARMMW/TuJKkJGjYUI15c5BDlw65LtWxE/Rt2ZdeTXsxfd10TEUVMO64OMjK8ulVtpOSVILUPn0c3/fQpUMs3b2U8T3HExrkXLI9Z2hTtw3H/36cO6PurND+lrsc3dp3H3aN05dSrpRStpNStpFSvmTe9oKUcqn59SYpZTMpZaiUMlxK2cFq34+llG3Nj/+552tUYaRUbhEXp+6PHeSjgx/R/7P+XC647HJpjiCEYGKfiRw4f4D5qfMdr+Cmm9SzATvn7CUpCbp1UytJOcq8zHlUC6jG+JjxLtflKDWD1Rf4I/sPh/ft1k1NKv/lF1er0ljQM3J9nX374OjRCsUE0k+l8+vpXxkfM941eXCcZMg1Q4iqH8Ura19xPN9+o0Yqru+jpp+bC7//XvHQTp/wPrzS/xXqh9Z3qa6K8vzq5+n0fidyCx3rowkKghtugNWr3SRMo03f57EMr6yAW0z/bTrBfsE8EfOEazVVED/hx3O9nyO8WjgXTRXIvOXDcf0NG9TKURU1/evrXc9T1z3lUk3OMChyEKdzTrPiuOP59vv3V6OOdVzfPWjT93UqGM8/cuEIX6R8wa2NbzVM6xBgVPQokh5MolZgLcd39uG4fkXj+RdyL/Bi0otcKLjgFl0VpU+LPvRp0Yf5mfMdXoSnv3luoG7tuwdt+r6MlJCYqOLZDsbzk08kUzO4Jnc1u8tN4iqGZUr/6bzT7D6927GdLXH9xEQXq3I/q1erRVNqOXitm71lNv/++d+cyD3hHmFOMLHPRE7mneTLHV/aLmxFly5Qt642fXehTd+XSU1V8fyBAx3edXC7wRx75tiVmZNGorCokPHbxvPk9086tmOjRtChA/zwg3uEuYkLF1T6BUdPY54pjxkbZnBz65tpV6Ode8Q5QULbBFqHtmbO1jkO7efvD337KtOvRMskGAZt+r7M99+rZwfdYt/ZfUgpCQ4IdoMo5/H382dok6H8sO8Hthzb4tjO8fFq6MelS+4R5wZWr4bCQiXdEebumMvx7ONMuH6Ce4Q5iRCCyVGT+X7U9w7v27+/WgguI8MNwqo42vR9me+/V6mFm5ZIZ1Qm2fnZxMyJ4W+r/uZGYc4ztMlQagbXZNq6aY7tGB+vZjj50CieVavUME1HcuUVySJe++01ujTqws2tb3afOCdpUb0FYUFhFMkiSyoWu7jZ/JV+/NFNwqow2vR9lexsNVLFwebhh1s+5Ozlsy5f+9bVhAWE8XjPx/km7RvHYvs33ADVq8N337lPnAuRUl27+/d3bO2bC7kXaF+vPc/1fs7ti904y+7Tu4maGcWaA2vs3qdtW2jVymdOo0+hTd9XSUpSLVoHTD/PlMfr61+nb8u+XNesYimYPcnT1z1NaFAoPx9yIOtncDD06/dn6Mvg7NoFhw87HtqpU60Oi0YsYkTHEe4R5kIiakdwIe8Cr6x9xe59hIDBg+GnnypFxmxDoU3fV/n+e9WidWCM32fJn3Hs4jGev+F5NwpzHQ1CG3D46cOM7T7WsR3j49WkNR8ICFekWybtVBp7zuxxjyA3EBIQwjPXPcPqA6vZdHST3fsNGaImra2x/wZBYwfa9H0RKWHZMhX4DLa/M/bLnV/Ss0lPjy6S4ix1qqmF1k5dOmX/Tpb1GJYtc4Mi1/Ltt2rAUUSE/fs8s+oZbvrkJqfWpPU043qMo3ZIbYda+zfeCGFhsHy5G4VVQbTp+yJbt6qYwO23O7TbqlGrWHDXAsPHgIszY8MMWr3Vyv4F1Fu3huhoWLTIvcKc5NQp1S1zxx3277Px6EZW7VvF072eduuC566mRnANxvccz+Jdi+1ejjM4WN0BLV+uh266Em36vsiiRWow85AhdhUvkkXkF+YT5B9ERG0HmpQGYUCbAVwquMTbv79t/0533KFSNf7heNIvT7FsmVoP1pFr99RfplK3Wl0e6/mY+4S5iaeue4ov7/iStnXb2r3PkCFqKso27yeCrTRo0/dFFi9W977h4XYVX7FnBa3fau2xBc9dTVT9KIZdO4x3Nr7DxTw7c/LccYdqHn77rXvFOcHixSqs06WLfeW3/7GdZXuW8XSvp6kRXMO94txAver1uKfTPQT42bNKq+LWW1X7ZuFCNwqrYmjT9zV27YL0dLtjAkWyiMlJkwkOCKZNnTZuFuc+JvaZyPnc88zeMtu+HTp2VOP+DBriyc5WY9Bvv93+DBpbj2+lQWgDnuhljAR5FeX1317n30n/tqtsvXqq62rePB3icRV2mb4QIl4IsVsIkSGEeK6Uz4OFEPPMn/8uhGhp3t5SCHFZCLHd/JjlWvlVkAUL1POwYXYVX5y+mG1/bOPFm170qRhwcWKaxtCvVT9mb5lt3yQfIeDOO9XQj7PGW7fn229VVk1H4vljuo7h0NOHqB1S233CPEDqqVReXfeq3Z3zI0bA/v2webObhVURbJq+EMIfmAkkAFHAPUKIqGLFHgbOSSnbAm8Cr1p9tk9K2cX8GOci3VUTKeHzz1U2yWbNbBYvLCrkhaQXuLbetdzb6V7363Mzs26dxYaHN9jfEX3XXSrNsuVCaSC++EKFduxdDzflRAqghj/6Os/2fpZcUy5v/f6WXeVvv11NXPv6azcLqyLY09KPATKklPullPnA18BtxcrcBnxqfr0Q6C98bYiIL7BpE+zdC6NG2VX8+4zvSTuVxpS4KV5b8NyVRIZHEl49nCJZZN+Sit26QVQUfPqp7bIe5MQJlRPuvvtUOmVbbDy6kc6zOvPpdmN9j4pybb1ruavDXczYMMOu1bVq11ZTL+bNUx3fGuewx/SbAkes3meat5Vaxrym7gXA0svYSgixTQjxsxDiBif1Vm0+/1yNYxs+3K7igyIH8dP9P1V4vVIjcj73PDEfxvDepvdsFxYCRo9WKSz3GGcy09dfK/O67z7bZaWUPPfTc9SvXp872jsQCzI4U/tOJa8wjyk/T7Gr/D33qFE8Ppg123AIW/FRIcRdwEAp5SPm9/cDMVLKJ6zKpJrLZJrf70PdIWQDYVLKM0KI7sASoIOUMqvYMcYCYwEmTJjQPcEyuaYCZGdnExYWVuH93YWzukRBAbF33cX5Ll1Ie/FFm+ULigoI9LMdw/e130tKyd9T/s6+7H3M7TWXsIDytQedPk3siBEcvvdeDjz8sNt0OcLYsd0B+OAD2xlEN5/dzD92/IPH2zzO8GZlX+x97TwCLDq6iHZh7ehYq6PNevLy/Bg+PJaYmLP861/pbtXlTZzRFRcXZ190RUpZ7gOIBVZZvZ8ITCxWZhUQa34dAJzGfEEpVi4J6GHjmE6RmJjobBVuwWld8+ZJCVKuWGGz6Nmcs7LFmy3k58mfu1+XmyhP15ZjWyQvIif+NNG+ygYOlLJFCylNJrfqsoeNG9VpfOcd22ULiwplt9ndZIs3W8jcgly36nIXrtT1xBNSBgVJeeqU83VV0t/Lpp9LKe0K72wCIoUQrYQQQcBIYGmxMkuB0ebXw4E1UkophKhv7ghGCNEaiAT223U10lzNe++ptIN2ZOaa+stUjlw4QscGtltQvki3xt24r9N9vLnhTY5cOGJ7h4cfVjOYV650vzgbvP8+hIbC/ffbLrvv7D6OXDjCS/1eMuzaB85y7vI5/rr8r/x25DebZR95ROUY/OILDwirxNg0fali9ONRrfl0YL6UMlUIMUUIMdRc7CMgXAiRATwDWIZ13gikCCGSUR2846SUxhs/Z3RSU9UC6OPG2ez523tmL+9sfIcxXcfQpZGds358kJf6vYSU0r4RIMOGqdFObzswo9cNnD0LX32l+uHtWRYxMjySvU/s5b5OdgT/fZRA/0CW713OYyses9k5Hx0NMTEwa5bu0HUGu8bpSylXSinbSSnbSClfMm97QUq51Pw6V0p5l5SyrZQyRkq537z9GyllByllZyllNyml8TNgGZH33lMduGPGlFtMSsnTq54mOCCYqf2mekicd4ioHcGP9//Iy/1ftl04MBAee0zl6U1Lc7+4Mvjf/1TWyL/+1XbZdYfXYSoyUSukls/lSnKEsKAwZgycQfKJZLs65596CnbvNsRNm8+iZ+QanRMn4OOP4d571fTEckg+kcz3Gd/zn77/oVGY8da+dTU3RNxAkH8QF/MukmfKK7/wX/6iLpxv2Tc23NXk5cGbb6q12zt3Lr/szpM7ifs0jqm/VO4Lt4U72t/BgDYD+Ffivzh+8Xi5Ze+6C5o3h9de85C4Sog2faPz5pvKMZ591mbRLo26sGXsFp6I8e1p+o5wJucM7We2Z/q66eUXrFcPHnwQPvlELb7qYT7/XA05/Oc/yy9XWFTImG/HUDukNo/3fNwz4ryMEIJ3E94l15TLP9eU/wMFBsLTT6tlkDdu9JDASoY2fSNz7pwK7dx9N1xzTblF006psEWXRl0qxUQsewmvHk7vFr2Z+utUdp7cWX7hiRPVrOZpDq676yQmkzpkjx5/rv1aFjM2zGDTsU28k/AO9UPre0agAYgMj+TTYZ/y7zjbOXn+8hc1YWuKfUP8NcXQpm9kXn8dLl5UZlUO36R9Q4f3OrBizwoPCTMW7yS8Q63gWoxaNIr8wvyyC0ZEqNb+nDmQmekxfZ99phbyev758pOr7Tmzh0mJkxh6zVBGdDD+MoiuZmTHkTSv1RwpJdn52WWWq1FD3fiuWAFr13pQYCVBm75ROXIE3nhDxfLLCQJnZmXyl2V/oXvj7tzS5hYPCjQODUIbMGfoHJJPJPNi0ovlF37evFSkrTiLi7h0CSZNguuus50jL9eUS+eGnXn/1vcrdedteUgpuWP+HYxYOIIiWfYQnSefhMaN4bnndPZNR9Gmb1T++U/11/xy2aNTTEUm7l98P3mFeXx555cE+Qd5UKCxGHrNUB7u+jDb/9hOYVFh2QVbtoRnnlHN7w0b3K7r9dfh+HH4739tp1CObhjN+ofX06RGE7frMipCCPq36s/KvSuZtrbsMFz16vDCC2qdHAPm0zM02vSNyJo1qufvmWfKXTz1/374P5IOJvH+re/TLrydBwUak3cHvcuKe1fY7tP45z+hSRN44gkoLOcC4SS7d8Mrr6gumeuvL7vc4vTFjFs+jssFl6tsC9+ax3s+zsiOI5m0ZhI/7PuhzHKPPKJy6j31FFy44EGBPo42faORk6N6qtq2VXGBcmhfrz3/uP4fPND5AQ+JMzYhASEIITiadZRHlz1Krim39IJhYarpvXmzaoq7gaIidRqrVSt/lOi249sYtXgU2/7Yhp/Q/46gWvtzhsyhQ4MO3PPNPew5U3qyvIAA+OADOHlShXk09qH/yozG3/+uVoz48EN1D1sKWXkqX92jPR5l+i02hipWQbb9sY0Ptn7AfYvuKzvUM2KEylb6r39BcrLLNbzxhlr0/L//hUZlTJk4fvE4Q78eSt1qdVkyYkmlTbVQEUKDQlkyYglNazQlpyCnzHLdu6shnLNmwdLiyWE0paJN30h8+aX66/3HP9RCKaXw88GfaTmjJUkHkzwqzZcY3G4wMwbOYFH6Iv664q+lr7QlhEqEEx6u4i/nz7vs+L/9plqed94JDz1UepnTOacZ+MVAzl0+x7J7ltG4RmOXHb+y0KZuG7aP206XRl2QUpa5PvLLL6swz4MPqhRLmvLRpm8UNm5U8YA+feCll0otsipjFYO+HESjsEaVNpmaq3jquqd4vs/zfLj1Q55Z9Uzpxl+vnkpuv38/jBypBtQ7yYEDyuwjIuCjj8ruvN17Zi/Hs4/z7chvK3WOJGexhLz+87niBmwAAA8SSURBVMt/uO6j6ziadbREmeBgtcCKyQRDh0JWVokiGiu06RuBPXvg1luhYUM1FCGwZB78L1K+YPBXg2kX3o41o9dQr3r5KRk0MLXfVJ6MeZJV+1ZdCYmV4Kab1AS4VatUz6ATHbunTsHAgWoC9bJlpSdVs4w/j20ey4GnDtC/df8KH68qcVPETRy5cIQ+/+tzZSKiNW3bwsKFKjfhHXeoHEea0tGm721SUpTxCKGMp5QA8E/7f+L+xffTu3lvkkYnVYm8Oq5ACMGM+Bmsf3g9tUJqkVOQU7r5/+Uv8OKLalnFRx6pUIv/yBG48Ub1vGyZWqWxOKknU4maGcVHWz8CVLIxjX3c1PIm1oxew+WCy8R8GMPCtIUlygwYoO6uVq+GwYPVvEZNSbTpe5PvvlNOERCgUidHRl71sSWG2a9VPz4c8iE/3v8jtULsyMmruYIQ4spvNm75OHrN6cWu07tKFpw8WT0++QQGDVIpMOxk0ya1wPmxY/D996Uvdj43ZS695vTCVGSiW+NuFfw2VZseTXqwZewWOjXsxL3f3EtmVslZ1Q88oK7dSUnQty8cPOhxmYZHm743uHxZzSMfNEgFf9etg/btr3x8Pvc8E3+aSOu3W3Ps4jH8hB+PdHuEQH/byx9qymZM1zGczjlNt9ndeGvDWyVnfL74omoqJiVB166qyVgOJpMapWMx+aQkddNmzbnL53jo24cYtXgUXRt3ZeNfNtK1cVdXfaUqR9OaTUkancTK+1bSrGYzAH7Y98NVo7QeeACWLIGMDHUaFyzQs3at0abvSYqKYNEi6NABpk+HsWPVrNAWLQA1ouOlX16i9VutmbZuGrdG3kpIQIiXRVce4lrGsf3R7fRt1ZenVz3NTZ/cRMbZjKsLjRmjUjgGBansaA88oHpnrZBSLdDds6caYRsfD9u2KYMpzsajG/k8+XP+ecM/SRydeMWoNBUnOCCYm1urzHUbMjcw8IuBdJ3dla92fHUl99LgwbB1K7RpowZnJSTAThv5+KoKdpm+ECJeCLFbCJEhhCgxDUIIESyEmGf+/HchREurzyaat+8WQgx0nXQf4vx5Gq9YAZ06qaEdISFq1u3s2Wr2DipFcIs3WzApcRLXN7+erWO38smwT6hbra6XxVcumtZsyvJ7lvO/2/5HZlbmlbj6VRO5rrsOtm9X4y4XLFAZTh94gJyffmPN6vr07g39+qmO2wUL4Ntv1chPULljlu9Zzlsb1IysgW0HsveJvUztN5UAvwBPf91KT0zTGL6+82tyTbncu+heImZE8Pzq57mQe4HWrVWb6q23YP169e83dKjqOissrMIzn20togv4A/uA1kAQkAxEFSvzGDDL/HokMM/8OspcPhhoZa7H38YxncIQCx6bTFKmpEj51ltSDh0qZXCwWg27UyeZ8/n/5LoDP8vX1r0mh309TN45784ru737+7ty54mdHpVqiN+rFDyhy1T450LpsXNi5aC5g+TSXUtlnilPSillUZGUe345Lj/o+6UcGbBAhpElQcqWNU7JmeOSZc7+41f2P5tzVr694W3ZYWYHyYvIqJlRMt+U7/bvYKEqn0cp1SLyK/eslIPmDpLhr4ZfWUh+bspc+fHWj+X6venyhRcLZHi4+lesUydPPvywlHPnSpmZqc61EfDEwuj2ND1igAxpXgJRCPE1cBtgPW7qNuBF8+uFwLtCJRG5DfhaSpkHHDCvoRsDrHf88uRliopULD4nR6VOvHQJLlyg4HgmAcdPIk6c4NThdE4cTCXr6H5OBOZzMhTONa3Lc48+ypZrr2VW0y18tG0Mcp8KMLap04aEtglIKRFC8HhM1Vg0w5tIaX0a/cnJgTPnTLQ0xbN830xW7h1KUGFtavwxmJx1Y7ic1he4h0YNixjRLoPBZ59nyL7/kfPxJcQcoGFTPu5bm0fbpGMSRfQIbsXHrf/GqMjhBB44pMZthoSoR0CA7axrmgrhJ/xIiEwgITKBywWXr8xu/mDLB/x86GcAAv0Cifx3O24Qt3Ju/t9ZuLABH/2yEooCqBlck3YRNbi2VU1aNqpDq6ZhNG0KdeqoVM41a6rnsDCby1QbHiFt9HAIIYYD8VLKR8zv7wd6SSnHW5XZaS6TaX6/D+iFuhBskFJ+Yd7+EfCdlLLkeKs/qVCXy9l95+gyeDEnbn4JhKpGIkFImi56m5A/oshqv5KT/aeDkObDqM+bff45QWdbcaHLfE73ffPKdpBIAS1mfUtgVkPOXv8R5258DymURBmQB/4mWr6yFf+8GpweOJ0LsR+W0Nby8zzycgoxXfstBTX3EHSuM8EnY/HPbXD1Fy/lm7tyW2ll8vLyCAoKtlnO3TqKbzOZCvAvpePaGR0mkzL7MvErgNY/EdLzKwpbfU/v/P9wT+SjNO6cyti1N1MtoBp5uXlkF2WTlZ/F0moPMyT5MjuObWdujf3cvTmXbuWt9ieEmkkUEqL6DIRQDmJ5tn5d2nM5XMrJIbSMtB1ewazX27qKkOyqmc+mupdJr5lPWs08ml0O4LVfaxFSLYwmQ/ZzMvTy1Tul3QHzv1Gv/1EfgrKhKBAKA6EoEJF8H0E/vUygMJEzviP4FZotRyCAsOS7qbPuSYoCcjn2iCWi/ef5q7V1FHU3PUhhtXMcud+yboL6gx2wcCbLjlc4Cm5Xi8Keln5pFRX/lyqrjD37IoQYC4wFmDBhAgkJCXbIuprcU3lEBORgOtcc9dOrhwBaV88iLPwoZwLA70RHsyhhPkmCyFpZVA86xim/aoQcibXaV5Vp3+AigXUDOOHXlJOHBgN+IPzwk9URhBIRWx3hH0q9kBHkpPckoCiUoIL6BBXUI6ggHL/WZzGZTAQExEFOnAp2NS9CiD9KfI/S/reFsO86WPq+5ddVUGAiMLDkn4E9dTmjzVZdBQUFBJYySc0ZbX5+EBJSaH4UERysXlevXkjduvnUrZtP7drVCQgYg5QPUSgLCfBLIvNMJt3DupMv88n3y6dutbqEB4Vzrt4NJMWoTvh44NKlS2w8c4aAixcJyMoi8OJFAi5dQhQU4Jeff/XDZFJXJikR5mekRBQVlb7NBiaTiUsB/9/evYbIVd5xHP/+stvVxhIvpNWSDc0KMd6qVmowSq1tbDGt5FWVCEpQUCoaLyitURQqCKKlGrBvikZoDS2aRA3FNl7ju8RLEo0xYiVKEi81KkljbVwn+/PF86xMxp1dx7rzzM75f2DgnLNnOL9lzvzPc55z5jwdcs2g7ojbCbmmAvM+Ti/yV253f8r1yKbJ7Oz7lI96anzUs489vfv49idvcPTsBfx7cCr3vTmLPZNgL5PYK/GJxOH79jCrfwU19/DkzgGGZIYshpgEmMNr4nuHvUJNnzL0wYzcSMwNRcF3h/bRf/BWBvv+y/92Tdsv6xGH7WbNmjVf6f88s8mjW75grP4fYA6wum5+MbC4YZ3VwJw83Qu8T6qc+61bv94or/9L1fs2WxW5WhO5WhO5WtOOPv0v0zv1HDBT0oCkPtKF2sbn2a0CFubpXwFP2XZeviDf3TMAzARiOOMQQihkzPMu2zVJV5Ba6T3AUtubJd0CPG97FXAv8Jd8ofZD0oGBvN4DpIu+NeBy2+M3akUIIYRRfanONtuPAo82LLu5bnovcG6T994KjPzYyBBCCG01wW8+CiGE0Ioo+iGEUCFR9EMIoUKi6IcQQoVE0Q8hhAoZ8zEME42kS23/qXSORpGrNZGrNZGrNVXO1Y0t/UtLB2gicrUmcrUmcrWmsrm6seiHEEJoIop+CCFUSDcW/Y7rp8siV2siV2siV2sqm6vrLuSGEEJorhtb+iGEEJrouqIv6SRJayVtlPS8pNmlMw2TtCgPEL9Z0u2l8zSSdJ0kS5paOguApDskvSrpJUkPSTqkYJaz82f3uqTrS+WoJ2m6pKclbcn71FWlM9WT1CNpg6S/l85ST9IhkpbnfWuLpDmlMwFIuiZ/ji9L+qukA8djO11X9IHbgd/ZPgm4Oc8XJ+knpDGDT7B9HPD7wpH2I2k68DNgW+ksdR4Hjrd9AvAaaVCetpPUA/wRmAccC5wv6dgSWRrUgGttHwOcClzeIbmGXQVsKR1iBEuAf9o+GjiRDsgoaRpwJfBD28eTHmO/YDy21Y1F38CUPH0w8HbBLPUuA25zGiQe2+8VztPoTuA3fMUxiseD7cds1/LsWqC/UJTZwOu2t9oeBP5GOoAXZfsd2+vz9B5S8Zo2+rvaQ1I/8EvgntJZ6kmaApxBGgME24O2d5VN9ble4JuSeoHJjFPt6saifzVwh6TtpNZ0kdbhCI4CfiRpnaRnJJ1SOtAwSfOBt2y/WDrLKC4G/lFo29OA7XXzO+iQ4jpM0gzgB8C6skk+dxepETH2AL/tdSSwE7gvdz3dI+mg0qFsv0WqV9uAd4Ddth8bj211yEjKrZH0BHDECH+6EZgLXGN7haTzSEf0szogVy9wKOk0/BTgAUlHuk23T42R7Qbg5+3I0Wi0XLYfyevcSOrKWNbObHVGGHa9c86IJH0LWAFcbfs/HZDnHOA92y9IOrN0nga9wMnAItvrJC0BrgduKhlK0qGks8cBYBfwoKQLbN//dW9rQhZ9202LuKQ/k/oSAR6kjaeXY+S6DFiZi/yzkoaAqaRWR7Fskr5P2tFelASpC2W9pNm23y2Vqy7fQuAcYG67DpAj2AFMr5vvp0O6DSV9g1Twl9leWTpPdjowX9IvgAOBKZLut31B4VyQPssdtofPiJaTin5pZwFv2N4JIGklcBrwtRf9buzeeRv4cZ7+KfCvglnqPUzKg6SjgD7g/aKJANubbH/H9gzbM0hfipPbUfDHIuls4LfAfNsfF4zyHDBT0oCkPtIFtlUF8wCgdJS+F9hi+w+l8wyzvdh2f96fFgBPdUjBJ+/X2yXNyovmksbwLm0bcKqkyflzncs4XWCekC39MVwCLMkXQ/bSOQ9WWgoslfQyMAgsLNhynSjuBg4AHs9nIWtt/7rdIWzXJF0BrCbdVbHU9uZ25xjB6cCFwCZJG/OyG/KY1qG5RcCyfADfClxUOA+5q2k5sJ7UlbmBcfp1bvwiN4QQKqQbu3dCCCE0EUU/hBAqJIp+CCFUSBT9EEKokCj6IYRQIVH0QwihQqLohxBChUTRDyGECvkMU+B1pVDd7AoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0bd4847eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# KL, JSD\n",
    "def gaussian(x, mu=0.0, sigma=1.0):\n",
    "    return 1. / (np.sqrt(2*np.pi) * sigma) * np.exp(-(x-mu)**2 / (2*sigma**2))\n",
    "\n",
    "def kl(p, q):\n",
    "    return p * (np.log(p) - np.log(q))\n",
    "\n",
    "def jsd(p, q):\n",
    "    m = (p+q) / 2.0\n",
    "    return 0.5 * (kl(p, m) + kl(q, m))\n",
    "\n",
    "for mu in [-2.0, -1.0, 0.0, 1.0, 2.0, 3.0]:\n",
    "    xs = np.linspace(-8,8, num=2000)\n",
    "    p = gaussian(xs, mu=-3.0, sigma=1.0)\n",
    "    plt.plot(xs, p, c=\"r\", label=\"$p$\")\n",
    "    q = gaussian(xs, mu=mu, sigma=1.0)\n",
    "    plt.plot(xs, q, c=\"b\", label=\"$q$\")\n",
    "    jsd_pq = jsd(p, q)\n",
    "    divergence = (jsd_pq * (xs[1] - xs[0])).sum()\n",
    "    plt.plot(xs, jsd_pq, \"g--\", label=\"JSD=%.3f\" % divergence)\n",
    "    plt.legend()\n",
    "    plt.grid()\n",
    "    remove_frame()\n",
    "\n",
    "    plt.savefig(\"jsd-%d.png\" % mu)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0bd360dfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mu=0.0\n",
    "\n",
    "xs = np.linspace(-8,8, num=2000)\n",
    "p = gaussian(xs, mu=-3.0, sigma=1.0)\n",
    "plt.plot(xs, p, c=\"r\", label=\"$p$\")\n",
    "q = gaussian(xs, mu=mu, sigma=1.0)\n",
    "plt.plot(xs, q, c=\"b\", label=\"$q$\")\n",
    "jsd_pq = jsd(p, q)\n",
    "divergence = (jsd_pq * (xs[1] - xs[0])).sum()\n",
    "#plt.plot(xs, jsd_pq, \"g--\", label=\"JSD=%.3f\" % divergence)\n",
    "\n",
    "plt.grid()\n",
    "\n",
    "i = 650\n",
    "#plt.arrow(xs[i], q[i], 0, p[i]-q[i],head_width=0.3, head_length=0.02, length_includes_head=True,  fc='k', ec='k')\n",
    "plt.annotate(s='', xy=(xs[i], q[i]), xytext=(xs[i],p[i]), arrowprops=dict(arrowstyle='<->', shrinkA=0, shrinkB=0))\n",
    "\n",
    "\n",
    "i = 740\n",
    "plt.annotate(s='', xy=(xs[i], p[i]), xytext=(xs[i]+3.0,p[i]), arrowprops=dict(arrowstyle='<->', shrinkA=0, shrinkB=0))\n",
    "remove_frame()\n",
    "\n",
    "plt.savefig(\"jsd-vs-emd.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-2.07703851925963"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs[740]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
